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Finding the Third Proportional to 85,778 and 177,415

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Solution

The third proportional to 85,778 and 177,415 is: 366,948.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,778 : 177,415 = 177,415 : x
  2. Step 2: Convert to fraction form
    85,778/177,415 = 177,415/x
  3. Step 3: Cross multiply
    85,778x = 177,415 × 177,415
  4. Step 4: Simplify right side
    85,778x = 31,476,082,225
  5. Step 5: Solve for x
    x = 31,476,082,225/85,778
  6. Step 6: Final answer
    x = 366,948.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.